Width of Throat given Discharge Calculator

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Flow [d_f]			+10% -10%

✖Width of throat of the parshall flume is denoted by W symbol.ⓘ Width of Throat given Discharge [W_t]

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Formula

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Width of Throat given Discharge

Formula

`"W"_{"t"} = "Q"_{"e"}/(2.264*("d"_{"f"})^(3/2))`

Example

`"2.947221m"="40m³/s"/(2.264*("3.3m")^(3/2))`

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Width of Throat given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of throat = Environmental Discharge/(2.264*(Depth of Flow)^(3/2))
W_t = Q_e/(2.264*(d_f)^(3/2))
This formula uses 3 Variables

Variables Used

Width of throat - (Measured in Meter) - Width of throat of the parshall flume is denoted by W symbol.
Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

STEP 1: Convert Input(s) to Base Unit

Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_t = Q_e/(2.264*(d_f)^(3/2)) --> 40/(2.264*(3.3)^(3/2))

Evaluating ... ...

W_t = 2.94722070116276

STEP 3: Convert Result to Output's Unit

2.94722070116276 Meter --> No Conversion Required

FINAL ANSWER

2.94722070116276 ≈ 2.947221 Meter <-- Width of throat

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Constant Velocity Horizontal Flow Grit Channels » Design of Parabolic Grit Chamber » Parshall Flume » Width of Throat given Discharge

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Parshall Flume Calculators

Depth of Parshall Flume given Discharge

Go Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient)

Depth of Parshall Flume given Width

Go Depth = (Integration Constant*Width)^(1/(Discharge coefficient-1))

Width of Parshall Flume given Depth

Go Width = ((Depth)^(Discharge coefficient-1))/Integration Constant

Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge

Go Depth of Flow = (Environmental Discharge/(2.264*Width of throat))^(2/3)

Discharge Passing through Parshall Flume

Go Environmental Discharge = (2.264*Width of throat*(Depth of Flow)^(3/2))

Width of Throat given Discharge

Go Width of throat = Environmental Discharge/(2.264*(Depth of Flow)^(3/2))

Width of Parshall Flume given Depth of Parshall Flume

Go Width = sqrt(Depth/Integration Constant)

Depth of Parshall Flume

Go Depth = Integration Constant*Width*Width

Width of Throat given Discharge Formula

Width of throat = Environmental Discharge/(2.264*(Depth of Flow)^(3/2))
W_t = Q_e/(2.264*(d_f)^(3/2))

What is parshall flume ?

The Parshall flume is a fixed hydraulic structure. It is used to measure volumetric flow rate in industrial discharges, municipal sewer lines, and influent/effluent flows in wastewater treatment plants.

How to Calculate Width of Throat given Discharge?

Width of Throat given Discharge calculator uses Width of throat = Environmental Discharge/(2.264*(Depth of Flow)^(3/2)) to calculate the Width of throat, Width of Throat given Discharge calculates width of throat when we have prior information of discharge and depth of flow. Width of throat is denoted by W_t symbol.

How to calculate Width of Throat given Discharge using this online calculator? To use this online calculator for Width of Throat given Discharge, enter Environmental Discharge (Q_e) & Depth of Flow (d_f) and hit the calculate button. Here is how the Width of Throat given Discharge calculation can be explained with given input values -> 2.947221 = 40/(2.264*(3.3)^(3/2)).

FAQ

What is Width of Throat given Discharge?

Width of Throat given Discharge calculates width of throat when we have prior information of discharge and depth of flow and is represented as W_t = Q_e/(2.264*(d_f)^(3/2)) or Width of throat = Environmental Discharge/(2.264*(Depth of Flow)^(3/2)). Environmental Discharge is the rate of flow of a liquid & Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

How to calculate Width of Throat given Discharge?

Width of Throat given Discharge calculates width of throat when we have prior information of discharge and depth of flow is calculated using Width of throat = Environmental Discharge/(2.264*(Depth of Flow)^(3/2)). To calculate Width of Throat given Discharge, you need Environmental Discharge (Q_e) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Environmental Discharge & Depth of Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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